Abstract
In two dimensions, fractionally charged particles must possess fractional exchange statistics. In experiments on quantum antidots in the quantum Hall regime the charge of the tunneling particles can be determined directly as a measure of the gate voltage needed to attract one particle. In the same experiments, when the magnetic field is varied, it is observed that the fundamental Aharonov-Bohm period is $h∕e$ even for fractionally charged Laughlin quasiparticles. In this paper we analyze these experiments, explicitly taking into account the fractional statistical Berry's phase contribution.
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